多圆柱上Bloch空间及其函数模的上界估计新证
The Bloch Space of Polydisk and New Proof for the Upper Bound Estimate of Bloch Function Modulus
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摘要: 重新定义了多圆柱上的Bloch空间,给出多圆柱上任意两点间的Bergman距离与其对应的Bloch函数值的欧氏距离之间的关系,并依此得到Bloch函数模上界估计的一种新的证明方法.Abstract: Abstract: The Bloch space of polydisk was redefined. Further given in the article was the relation between the bergman distance of any two points on a polydisk and the Euclidean distance of their corresponding bloch funtion values, based on which a new method for proving the upper bound estimate of the Bloch functions was obtained.